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Finding the Third Proportional to 63,664 and 98,264

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Solution

The third proportional to 63,664 and 98,264 is: 151,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,664 : 98,264 = 98,264 : x
  2. Step 2: Convert to fraction form
    63,664/98,264 = 98,264/x
  3. Step 3: Cross multiply
    63,664x = 98,264 × 98,264
  4. Step 4: Simplify right side
    63,664x = 9,655,813,696
  5. Step 5: Solve for x
    x = 9,655,813,696/63,664
  6. Step 6: Final answer
    x = 151,668.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.