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Finding the Third Proportional to 71,114 and 153,630

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Solution

The third proportional to 71,114 and 153,630 is: 331,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,114 : 153,630 = 153,630 : x
  2. Step 2: Convert to fraction form
    71,114/153,630 = 153,630/x
  3. Step 3: Cross multiply
    71,114x = 153,630 × 153,630
  4. Step 4: Simplify right side
    71,114x = 23,602,176,900
  5. Step 5: Solve for x
    x = 23,602,176,900/71,114
  6. Step 6: Final answer
    x = 331,892.13

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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.