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Finding the Third Proportional to 64,480 and 96,748

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Solution

The third proportional to 64,480 and 96,748 is: 145,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,480 : 96,748 = 96,748 : x
  2. Step 2: Convert to fraction form
    64,480/96,748 = 96,748/x
  3. Step 3: Cross multiply
    64,480x = 96,748 × 96,748
  4. Step 4: Simplify right side
    64,480x = 9,360,175,504
  5. Step 5: Solve for x
    x = 9,360,175,504/64,480
  6. Step 6: Final answer
    x = 145,164.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.