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Finding the Third Proportional to 108,730 and 153,116

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Solution

The third proportional to 108,730 and 153,116 is: 215,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,730 : 153,116 = 153,116 : x
  2. Step 2: Convert to fraction form
    108,730/153,116 = 153,116/x
  3. Step 3: Cross multiply
    108,730x = 153,116 × 153,116
  4. Step 4: Simplify right side
    108,730x = 23,444,509,456
  5. Step 5: Solve for x
    x = 23,444,509,456/108,730
  6. Step 6: Final answer
    x = 215,621.35

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Why These Related Problems?

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