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Finding the Third Proportional to 71,569.13 and 105,215.63

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Solution

The third proportional to 71,569.13 and 105,215.63 is: 154,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,569.13 : 105,215.63 = 105,215.63 : x
  2. Step 2: Convert to fraction form
    71,569.13/105,215.63 = 105,215.63/x
  3. Step 3: Cross multiply
    71,569.13x = 105,215.63 × 105,215.63
  4. Step 4: Simplify right side
    71,569.13x = 11,070,327,744.14
  5. Step 5: Solve for x
    x = 11,070,327,744.14/71,569.13
  6. Step 6: Final answer
    x = 154,680.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.