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Finding the Third Proportional to 91,614 and 145,726.50

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Solution

The third proportional to 91,614 and 145,726.50 is: 231,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,614 : 145,726.50 = 145,726.50 : x
  2. Step 2: Convert to fraction form
    91,614/145,726.50 = 145,726.50/x
  3. Step 3: Cross multiply
    91,614x = 145,726.50 × 145,726.50
  4. Step 4: Simplify right side
    91,614x = 21,236,212,802.25
  5. Step 5: Solve for x
    x = 21,236,212,802.25/91,614
  6. Step 6: Final answer
    x = 231,800.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.