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Finding the Third Proportional to 67,054.50 and 93,970.13

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Solution

The third proportional to 67,054.50 and 93,970.13 is: 131,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,054.50 : 93,970.13 = 93,970.13 : x
  2. Step 2: Convert to fraction form
    67,054.50/93,970.13 = 93,970.13/x
  3. Step 3: Cross multiply
    67,054.50x = 93,970.13 × 93,970.13
  4. Step 4: Simplify right side
    67,054.50x = 8,830,384,392.52
  5. Step 5: Solve for x
    x = 8,830,384,392.52/67,054.50
  6. Step 6: Final answer
    x = 131,689.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.