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Finding the Third Proportional to 125,283 and 273,178.50

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Solution

The third proportional to 125,283 and 273,178.50 is: 595,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,283 : 273,178.50 = 273,178.50 : x
  2. Step 2: Convert to fraction form
    125,283/273,178.50 = 273,178.50/x
  3. Step 3: Cross multiply
    125,283x = 273,178.50 × 273,178.50
  4. Step 4: Simplify right side
    125,283x = 74,626,492,862.25
  5. Step 5: Solve for x
    x = 74,626,492,862.25/125,283
  6. Step 6: Final answer
    x = 595,663.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.