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Finding the Third Proportional to 92,282 and 142,572

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Solution

The third proportional to 92,282 and 142,572 is: 220,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,282 : 142,572 = 142,572 : x
  2. Step 2: Convert to fraction form
    92,282/142,572 = 142,572/x
  3. Step 3: Cross multiply
    92,282x = 142,572 × 142,572
  4. Step 4: Simplify right side
    92,282x = 20,326,775,184
  5. Step 5: Solve for x
    x = 20,326,775,184/92,282
  6. Step 6: Final answer
    x = 220,268.04

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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.