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Finding the Third Proportional to 125,706 and 271,095

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Solution

The third proportional to 125,706 and 271,095 is: 584,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,706 : 271,095 = 271,095 : x
  2. Step 2: Convert to fraction form
    125,706/271,095 = 271,095/x
  3. Step 3: Cross multiply
    125,706x = 271,095 × 271,095
  4. Step 4: Simplify right side
    125,706x = 73,492,499,025
  5. Step 5: Solve for x
    x = 73,492,499,025/125,706
  6. Step 6: Final answer
    x = 584,637.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.