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Finding the Third Proportional to 125,213 and 187,820

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Solution

The third proportional to 125,213 and 187,820 is: 281,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,213 : 187,820 = 187,820 : x
  2. Step 2: Convert to fraction form
    125,213/187,820 = 187,820/x
  3. Step 3: Cross multiply
    125,213x = 187,820 × 187,820
  4. Step 4: Simplify right side
    125,213x = 35,276,352,400
  5. Step 5: Solve for x
    x = 35,276,352,400/125,213
  6. Step 6: Final answer
    x = 281,730.75

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