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Finding the Third Proportional to 60,178.50 and 93,133

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Solution

The third proportional to 60,178.50 and 93,133 is: 144,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,178.50 : 93,133 = 93,133 : x
  2. Step 2: Convert to fraction form
    60,178.50/93,133 = 93,133/x
  3. Step 3: Cross multiply
    60,178.50x = 93,133 × 93,133
  4. Step 4: Simplify right side
    60,178.50x = 8,673,755,689
  5. Step 5: Solve for x
    x = 8,673,755,689/60,178.50
  6. Step 6: Final answer
    x = 144,133.80

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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.