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Finding the Third Proportional to 60,896 and 93,655

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Solution

The third proportional to 60,896 and 93,655 is: 144,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,896 : 93,655 = 93,655 : x
  2. Step 2: Convert to fraction form
    60,896/93,655 = 93,655/x
  3. Step 3: Cross multiply
    60,896x = 93,655 × 93,655
  4. Step 4: Simplify right side
    60,896x = 8,771,259,025
  5. Step 5: Solve for x
    x = 8,771,259,025/60,896
  6. Step 6: Final answer
    x = 144,036.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.