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Finding the Third Proportional to 72,697.50 and 157,070.25

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Solution

The third proportional to 72,697.50 and 157,070.25 is: 339,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697.50 : 157,070.25 = 157,070.25 : x
  2. Step 2: Convert to fraction form
    72,697.50/157,070.25 = 157,070.25/x
  3. Step 3: Cross multiply
    72,697.50x = 157,070.25 × 157,070.25
  4. Step 4: Simplify right side
    72,697.50x = 24,671,063,435.06
  5. Step 5: Solve for x
    x = 24,671,063,435.06/72,697.50
  6. Step 6: Final answer
    x = 339,366.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.