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Finding the Third Proportional to 102,042 and 158,292

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Solution

The third proportional to 102,042 and 158,292 is: 245,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042 : 158,292 = 158,292 : x
  2. Step 2: Convert to fraction form
    102,042/158,292 = 158,292/x
  3. Step 3: Cross multiply
    102,042x = 158,292 × 158,292
  4. Step 4: Simplify right side
    102,042x = 25,056,357,264
  5. Step 5: Solve for x
    x = 25,056,357,264/102,042
  6. Step 6: Final answer
    x = 245,549.45

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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.