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Finding the Third Proportional to 60,907.50 and 89,514

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Solution

The third proportional to 60,907.50 and 89,514 is: 131,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,907.50 : 89,514 = 89,514 : x
  2. Step 2: Convert to fraction form
    60,907.50/89,514 = 89,514/x
  3. Step 3: Cross multiply
    60,907.50x = 89,514 × 89,514
  4. Step 4: Simplify right side
    60,907.50x = 8,012,756,196
  5. Step 5: Solve for x
    x = 8,012,756,196/60,907.50
  6. Step 6: Final answer
    x = 131,556.15

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