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Finding the Third Proportional to 59,944 and 93,135

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Solution

The third proportional to 59,944 and 93,135 is: 144,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,944 : 93,135 = 93,135 : x
  2. Step 2: Convert to fraction form
    59,944/93,135 = 93,135/x
  3. Step 3: Cross multiply
    59,944x = 93,135 × 93,135
  4. Step 4: Simplify right side
    59,944x = 8,674,128,225
  5. Step 5: Solve for x
    x = 8,674,128,225/59,944
  6. Step 6: Final answer
    x = 144,703.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.