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Finding the Third Proportional to 125,196 and 196,746

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Solution

The third proportional to 125,196 and 196,746 is: 309,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,196 : 196,746 = 196,746 : x
  2. Step 2: Convert to fraction form
    125,196/196,746 = 196,746/x
  3. Step 3: Cross multiply
    125,196x = 196,746 × 196,746
  4. Step 4: Simplify right side
    125,196x = 38,708,988,516
  5. Step 5: Solve for x
    x = 38,708,988,516/125,196
  6. Step 6: Final answer
    x = 309,187.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.