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Finding the Third Proportional to 64,160 and 98,745

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Solution

The third proportional to 64,160 and 98,745 is: 151,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,160 : 98,745 = 98,745 : x
  2. Step 2: Convert to fraction form
    64,160/98,745 = 98,745/x
  3. Step 3: Cross multiply
    64,160x = 98,745 × 98,745
  4. Step 4: Simplify right side
    64,160x = 9,750,575,025
  5. Step 5: Solve for x
    x = 9,750,575,025/64,160
  6. Step 6: Final answer
    x = 151,972.80

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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.