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Finding the Third Proportional to 102,587 and 157,466

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Solution

The third proportional to 102,587 and 157,466 is: 241,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,587 : 157,466 = 157,466 : x
  2. Step 2: Convert to fraction form
    102,587/157,466 = 157,466/x
  3. Step 3: Cross multiply
    102,587x = 157,466 × 157,466
  4. Step 4: Simplify right side
    102,587x = 24,795,541,156
  5. Step 5: Solve for x
    x = 24,795,541,156/102,587
  6. Step 6: Final answer
    x = 241,702.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.