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Finding the Third Proportional to 125,621 and 170,585

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Solution

The third proportional to 125,621 and 170,585 is: 231,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,621 : 170,585 = 170,585 : x
  2. Step 2: Convert to fraction form
    125,621/170,585 = 170,585/x
  3. Step 3: Cross multiply
    125,621x = 170,585 × 170,585
  4. Step 4: Simplify right side
    125,621x = 29,099,242,225
  5. Step 5: Solve for x
    x = 29,099,242,225/125,621
  6. Step 6: Final answer
    x = 231,643.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.