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Finding the Third Proportional to 60,309 and 88,655

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Solution

The third proportional to 60,309 and 88,655 is: 130,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,309 : 88,655 = 88,655 : x
  2. Step 2: Convert to fraction form
    60,309/88,655 = 88,655/x
  3. Step 3: Cross multiply
    60,309x = 88,655 × 88,655
  4. Step 4: Simplify right side
    60,309x = 7,859,709,025
  5. Step 5: Solve for x
    x = 7,859,709,025/60,309
  6. Step 6: Final answer
    x = 130,323.98

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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.