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Finding the Third Proportional to 85,374.50 and 125,294

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Solution

The third proportional to 85,374.50 and 125,294 is: 183,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,374.50 : 125,294 = 125,294 : x
  2. Step 2: Convert to fraction form
    85,374.50/125,294 = 125,294/x
  3. Step 3: Cross multiply
    85,374.50x = 125,294 × 125,294
  4. Step 4: Simplify right side
    85,374.50x = 15,698,586,436
  5. Step 5: Solve for x
    x = 15,698,586,436/85,374.50
  6. Step 6: Final answer
    x = 183,879.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.