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Finding the Third Proportional to 119,070 and 161,708

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Solution

The third proportional to 119,070 and 161,708 is: 219,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,070 : 161,708 = 161,708 : x
  2. Step 2: Convert to fraction form
    119,070/161,708 = 161,708/x
  3. Step 3: Cross multiply
    119,070x = 161,708 × 161,708
  4. Step 4: Simplify right side
    119,070x = 26,149,477,264
  5. Step 5: Solve for x
    x = 26,149,477,264/119,070
  6. Step 6: Final answer
    x = 219,614.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.