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Finding the Third Proportional to 71,470.50 and 152,430

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Solution

The third proportional to 71,470.50 and 152,430 is: 325,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,470.50 : 152,430 = 152,430 : x
  2. Step 2: Convert to fraction form
    71,470.50/152,430 = 152,430/x
  3. Step 3: Cross multiply
    71,470.50x = 152,430 × 152,430
  4. Step 4: Simplify right side
    71,470.50x = 23,234,904,900
  5. Step 5: Solve for x
    x = 23,234,904,900/71,470.50
  6. Step 6: Final answer
    x = 325,097.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.