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Finding the Third Proportional to 72,768 and 156,602.25

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Solution

The third proportional to 72,768 and 156,602.25 is: 337,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,768 : 156,602.25 = 156,602.25 : x
  2. Step 2: Convert to fraction form
    72,768/156,602.25 = 156,602.25/x
  3. Step 3: Cross multiply
    72,768x = 156,602.25 × 156,602.25
  4. Step 4: Simplify right side
    72,768x = 24,524,264,705.06
  5. Step 5: Solve for x
    x = 24,524,264,705.06/72,768
  6. Step 6: Final answer
    x = 337,019.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.