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Finding the Third Proportional to 72,802.55 and 155,726.30

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Solution

The third proportional to 72,802.55 and 155,726.30 is: 333,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,802.55 : 155,726.30 = 155,726.30 : x
  2. Step 2: Convert to fraction form
    72,802.55/155,726.30 = 155,726.30/x
  3. Step 3: Cross multiply
    72,802.55x = 155,726.30 × 155,726.30
  4. Step 4: Simplify right side
    72,802.55x = 24,250,679,538.40
  5. Step 5: Solve for x
    x = 24,250,679,538.40/72,802.55
  6. Step 6: Final answer
    x = 333,102.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.