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Finding the Third Proportional to 64,358 and 98,452

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Solution

The third proportional to 64,358 and 98,452 is: 150,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,358 : 98,452 = 98,452 : x
  2. Step 2: Convert to fraction form
    64,358/98,452 = 98,452/x
  3. Step 3: Cross multiply
    64,358x = 98,452 × 98,452
  4. Step 4: Simplify right side
    64,358x = 9,692,796,304
  5. Step 5: Solve for x
    x = 9,692,796,304/64,358
  6. Step 6: Final answer
    x = 150,607.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.