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Finding the Third Proportional to 98,421 and 152,690

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Solution

The third proportional to 98,421 and 152,690 is: 236,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,421 : 152,690 = 152,690 : x
  2. Step 2: Convert to fraction form
    98,421/152,690 = 152,690/x
  3. Step 3: Cross multiply
    98,421x = 152,690 × 152,690
  4. Step 4: Simplify right side
    98,421x = 23,314,236,100
  5. Step 5: Solve for x
    x = 23,314,236,100/98,421
  6. Step 6: Final answer
    x = 236,882.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.