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Finding the Third Proportional to 108,746 and 153,140

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Solution

The third proportional to 108,746 and 153,140 is: 215,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,746 : 153,140 = 153,140 : x
  2. Step 2: Convert to fraction form
    108,746/153,140 = 153,140/x
  3. Step 3: Cross multiply
    108,746x = 153,140 × 153,140
  4. Step 4: Simplify right side
    108,746x = 23,451,859,600
  5. Step 5: Solve for x
    x = 23,451,859,600/108,746
  6. Step 6: Final answer
    x = 215,657.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.