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Finding the Third Proportional to 144,837.38 and 212,070.75

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Solution

The third proportional to 144,837.38 and 212,070.75 is: 310,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,837.38 : 212,070.75 = 212,070.75 : x
  2. Step 2: Convert to fraction form
    144,837.38/212,070.75 = 212,070.75/x
  3. Step 3: Cross multiply
    144,837.38x = 212,070.75 × 212,070.75
  4. Step 4: Simplify right side
    144,837.38x = 44,974,003,005.56
  5. Step 5: Solve for x
    x = 44,974,003,005.56/144,837.38
  6. Step 6: Final answer
    x = 310,513.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.