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Finding the Third Proportional to 91,426.14 and 121,312.65

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Solution

The third proportional to 91,426.14 and 121,312.65 is: 160,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,426.14 : 121,312.65 = 121,312.65 : x
  2. Step 2: Convert to fraction form
    91,426.14/121,312.65 = 121,312.65/x
  3. Step 3: Cross multiply
    91,426.14x = 121,312.65 × 121,312.65
  4. Step 4: Simplify right side
    91,426.14x = 14,716,758,552.45
  5. Step 5: Solve for x
    x = 14,716,758,552.45/91,426.14
  6. Step 6: Final answer
    x = 160,968.83

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.