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Finding the Third Proportional to 63,112 and 98,160

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Solution

The third proportional to 63,112 and 98,160 is: 152,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,112 : 98,160 = 98,160 : x
  2. Step 2: Convert to fraction form
    63,112/98,160 = 98,160/x
  3. Step 3: Cross multiply
    63,112x = 98,160 × 98,160
  4. Step 4: Simplify right side
    63,112x = 9,635,385,600
  5. Step 5: Solve for x
    x = 9,635,385,600/63,112
  6. Step 6: Final answer
    x = 152,671.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.