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Finding the Third Proportional to 98,742 and 152,937

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Solution

The third proportional to 98,742 and 152,937 is: 236,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,742 : 152,937 = 152,937 : x
  2. Step 2: Convert to fraction form
    98,742/152,937 = 152,937/x
  3. Step 3: Cross multiply
    98,742x = 152,937 × 152,937
  4. Step 4: Simplify right side
    98,742x = 23,389,725,969
  5. Step 5: Solve for x
    x = 23,389,725,969/98,742
  6. Step 6: Final answer
    x = 236,877.17

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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.