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Finding the Third Proportional to 98,506 and 148,932

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Solution

The third proportional to 98,506 and 148,932 is: 225,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,506 : 148,932 = 148,932 : x
  2. Step 2: Convert to fraction form
    98,506/148,932 = 148,932/x
  3. Step 3: Cross multiply
    98,506x = 148,932 × 148,932
  4. Step 4: Simplify right side
    98,506x = 22,180,740,624
  5. Step 5: Solve for x
    x = 22,180,740,624/98,506
  6. Step 6: Final answer
    x = 225,171.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.