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Finding the Third Proportional to 64,446 and 97,560

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Solution

The third proportional to 64,446 and 97,560 is: 147,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,446 : 97,560 = 97,560 : x
  2. Step 2: Convert to fraction form
    64,446/97,560 = 97,560/x
  3. Step 3: Cross multiply
    64,446x = 97,560 × 97,560
  4. Step 4: Simplify right side
    64,446x = 9,517,953,600
  5. Step 5: Solve for x
    x = 9,517,953,600/64,446
  6. Step 6: Final answer
    x = 147,688.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.