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Finding the Third Proportional to 63,246 and 97,608

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Solution

The third proportional to 63,246 and 97,608 is: 150,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,246 : 97,608 = 97,608 : x
  2. Step 2: Convert to fraction form
    63,246/97,608 = 97,608/x
  3. Step 3: Cross multiply
    63,246x = 97,608 × 97,608
  4. Step 4: Simplify right side
    63,246x = 9,527,321,664
  5. Step 5: Solve for x
    x = 9,527,321,664/63,246
  6. Step 6: Final answer
    x = 150,639.12

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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.