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Finding the Third Proportional to 52,742 and 70,454

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Solution

The third proportional to 52,742 and 70,454 is: 94,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,742 : 70,454 = 70,454 : x
  2. Step 2: Convert to fraction form
    52,742/70,454 = 70,454/x
  3. Step 3: Cross multiply
    52,742x = 70,454 × 70,454
  4. Step 4: Simplify right side
    52,742x = 4,963,766,116
  5. Step 5: Solve for x
    x = 4,963,766,116/52,742
  6. Step 6: Final answer
    x = 94,114.10

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.