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Finding the Third Proportional to 58,177.50 and 93,340.50

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Solution

The third proportional to 58,177.50 and 93,340.50 is: 149,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,177.50 : 93,340.50 = 93,340.50 : x
  2. Step 2: Convert to fraction form
    58,177.50/93,340.50 = 93,340.50/x
  3. Step 3: Cross multiply
    58,177.50x = 93,340.50 × 93,340.50
  4. Step 4: Simplify right side
    58,177.50x = 8,712,448,940.25
  5. Step 5: Solve for x
    x = 8,712,448,940.25/58,177.50
  6. Step 6: Final answer
    x = 149,756.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.