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Finding the Third Proportional to 64,542 and 97,784

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Solution

The third proportional to 64,542 and 97,784 is: 148,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,542 : 97,784 = 97,784 : x
  2. Step 2: Convert to fraction form
    64,542/97,784 = 97,784/x
  3. Step 3: Cross multiply
    64,542x = 97,784 × 97,784
  4. Step 4: Simplify right side
    64,542x = 9,561,710,656
  5. Step 5: Solve for x
    x = 9,561,710,656/64,542
  6. Step 6: Final answer
    x = 148,147.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.