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Finding the Third Proportional to 125,700 and 271,078.50

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Solution

The third proportional to 125,700 and 271,078.50 is: 584,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,700 : 271,078.50 = 271,078.50 : x
  2. Step 2: Convert to fraction form
    125,700/271,078.50 = 271,078.50/x
  3. Step 3: Cross multiply
    125,700x = 271,078.50 × 271,078.50
  4. Step 4: Simplify right side
    125,700x = 73,483,553,162.25
  5. Step 5: Solve for x
    x = 73,483,553,162.25/125,700
  6. Step 6: Final answer
    x = 584,594.70

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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.