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Finding the Third Proportional to 78,472 and 171,514.50

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Solution

The third proportional to 78,472 and 171,514.50 is: 374,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472 : 171,514.50 = 171,514.50 : x
  2. Step 2: Convert to fraction form
    78,472/171,514.50 = 171,514.50/x
  3. Step 3: Cross multiply
    78,472x = 171,514.50 × 171,514.50
  4. Step 4: Simplify right side
    78,472x = 29,417,223,710.25
  5. Step 5: Solve for x
    x = 29,417,223,710.25/78,472
  6. Step 6: Final answer
    x = 374,875.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.