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Finding the Third Proportional to 92,277.75 and 142,506

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Solution

The third proportional to 92,277.75 and 142,506 is: 220,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,277.75 : 142,506 = 142,506 : x
  2. Step 2: Convert to fraction form
    92,277.75/142,506 = 142,506/x
  3. Step 3: Cross multiply
    92,277.75x = 142,506 × 142,506
  4. Step 4: Simplify right side
    92,277.75x = 20,307,960,036
  5. Step 5: Solve for x
    x = 20,307,960,036/92,277.75
  6. Step 6: Final answer
    x = 220,074.29

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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.