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Finding the Third Proportional to 42,506 and 92,464

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Solution

The third proportional to 42,506 and 92,464 is: 201,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506 : 92,464 = 92,464 : x
  2. Step 2: Convert to fraction form
    42,506/92,464 = 92,464/x
  3. Step 3: Cross multiply
    42,506x = 92,464 × 92,464
  4. Step 4: Simplify right side
    42,506x = 8,549,591,296
  5. Step 5: Solve for x
    x = 8,549,591,296/42,506
  6. Step 6: Final answer
    x = 201,138.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.