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Finding the Third Proportional to 125,023 and 260,410

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Solution

The third proportional to 125,023 and 260,410 is: 542,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,023 : 260,410 = 260,410 : x
  2. Step 2: Convert to fraction form
    125,023/260,410 = 260,410/x
  3. Step 3: Cross multiply
    125,023x = 260,410 × 260,410
  4. Step 4: Simplify right side
    125,023x = 67,813,368,100
  5. Step 5: Solve for x
    x = 67,813,368,100/125,023
  6. Step 6: Final answer
    x = 542,407.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.