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Finding the Third Proportional to 92,280 and 142,502

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Solution

The third proportional to 92,280 and 142,502 is: 220,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,280 : 142,502 = 142,502 : x
  2. Step 2: Convert to fraction form
    92,280/142,502 = 142,502/x
  3. Step 3: Cross multiply
    92,280x = 142,502 × 142,502
  4. Step 4: Simplify right side
    92,280x = 20,306,820,004
  5. Step 5: Solve for x
    x = 20,306,820,004/92,280
  6. Step 6: Final answer
    x = 220,056.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.