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Finding the Third Proportional to 58,960.69 and 93,424.50

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Solution

The third proportional to 58,960.69 and 93,424.50 is: 148,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,960.69 : 93,424.50 = 93,424.50 : x
  2. Step 2: Convert to fraction form
    58,960.69/93,424.50 = 93,424.50/x
  3. Step 3: Cross multiply
    58,960.69x = 93,424.50 × 93,424.50
  4. Step 4: Simplify right side
    58,960.69x = 8,728,137,200.25
  5. Step 5: Solve for x
    x = 8,728,137,200.25/58,960.69
  6. Step 6: Final answer
    x = 148,033.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.