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Finding the Third Proportional to 64,498 and 97,720

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Solution

The third proportional to 64,498 and 97,720 is: 148,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,498 : 97,720 = 97,720 : x
  2. Step 2: Convert to fraction form
    64,498/97,720 = 97,720/x
  3. Step 3: Cross multiply
    64,498x = 97,720 × 97,720
  4. Step 4: Simplify right side
    64,498x = 9,549,198,400
  5. Step 5: Solve for x
    x = 9,549,198,400/64,498
  6. Step 6: Final answer
    x = 148,054.18

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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.