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Finding the Third Proportional to 45,128 and 67,432

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Solution

The third proportional to 45,128 and 67,432 is: 100,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,128 : 67,432 = 67,432 : x
  2. Step 2: Convert to fraction form
    45,128/67,432 = 67,432/x
  3. Step 3: Cross multiply
    45,128x = 67,432 × 67,432
  4. Step 4: Simplify right side
    45,128x = 4,547,074,624
  5. Step 5: Solve for x
    x = 4,547,074,624/45,128
  6. Step 6: Final answer
    x = 100,759.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.