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Finding the Third Proportional to 65,572 and 98,406

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Solution

The third proportional to 65,572 and 98,406 is: 147,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,572 : 98,406 = 98,406 : x
  2. Step 2: Convert to fraction form
    65,572/98,406 = 98,406/x
  3. Step 3: Cross multiply
    65,572x = 98,406 × 98,406
  4. Step 4: Simplify right side
    65,572x = 9,683,740,836
  5. Step 5: Solve for x
    x = 9,683,740,836/65,572
  6. Step 6: Final answer
    x = 147,681.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.