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Finding the Third Proportional to 70,712 and 102,262

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Solution

The third proportional to 70,712 and 102,262 is: 147,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,712 : 102,262 = 102,262 : x
  2. Step 2: Convert to fraction form
    70,712/102,262 = 102,262/x
  3. Step 3: Cross multiply
    70,712x = 102,262 × 102,262
  4. Step 4: Simplify right side
    70,712x = 10,457,516,644
  5. Step 5: Solve for x
    x = 10,457,516,644/70,712
  6. Step 6: Final answer
    x = 147,888.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.