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Finding the Third Proportional to 157,072.50 and 210,691.13

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Solution

The third proportional to 157,072.50 and 210,691.13 is: 282,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,072.50 : 210,691.13 = 210,691.13 : x
  2. Step 2: Convert to fraction form
    157,072.50/210,691.13 = 210,691.13/x
  3. Step 3: Cross multiply
    157,072.50x = 210,691.13 × 210,691.13
  4. Step 4: Simplify right side
    157,072.50x = 44,390,750,153.77
  5. Step 5: Solve for x
    x = 44,390,750,153.77/157,072.50
  6. Step 6: Final answer
    x = 282,613.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.