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Finding the Third Proportional to 101,746 and 157,730

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Solution

The third proportional to 101,746 and 157,730 is: 244,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746 : 157,730 = 157,730 : x
  2. Step 2: Convert to fraction form
    101,746/157,730 = 157,730/x
  3. Step 3: Cross multiply
    101,746x = 157,730 × 157,730
  4. Step 4: Simplify right side
    101,746x = 24,878,752,900
  5. Step 5: Solve for x
    x = 24,878,752,900/101,746
  6. Step 6: Final answer
    x = 244,518.24

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Why These Related Problems?

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