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Finding the Third Proportional to 73,131 and 157,636.50

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Solution

The third proportional to 73,131 and 157,636.50 is: 339,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,131 : 157,636.50 = 157,636.50 : x
  2. Step 2: Convert to fraction form
    73,131/157,636.50 = 157,636.50/x
  3. Step 3: Cross multiply
    73,131x = 157,636.50 × 157,636.50
  4. Step 4: Simplify right side
    73,131x = 24,849,266,132.25
  5. Step 5: Solve for x
    x = 24,849,266,132.25/73,131
  6. Step 6: Final answer
    x = 339,791.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.