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Finding the Third Proportional to 102,582 and 155,287

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Solution

The third proportional to 102,582 and 155,287 is: 235,070.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582 : 155,287 = 155,287 : x
  2. Step 2: Convert to fraction form
    102,582/155,287 = 155,287/x
  3. Step 3: Cross multiply
    102,582x = 155,287 × 155,287
  4. Step 4: Simplify right side
    102,582x = 24,114,052,369
  5. Step 5: Solve for x
    x = 24,114,052,369/102,582
  6. Step 6: Final answer
    x = 235,070.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.