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Finding the Third Proportional to 52,258 and 78,506

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Solution

The third proportional to 52,258 and 78,506 is: 117,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,258 : 78,506 = 78,506 : x
  2. Step 2: Convert to fraction form
    52,258/78,506 = 78,506/x
  3. Step 3: Cross multiply
    52,258x = 78,506 × 78,506
  4. Step 4: Simplify right side
    52,258x = 6,163,192,036
  5. Step 5: Solve for x
    x = 6,163,192,036/52,258
  6. Step 6: Final answer
    x = 117,937.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.