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Finding the Third Proportional to 72,382.50 and 97,272

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Solution

The third proportional to 72,382.50 and 97,272 is: 130,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382.50 : 97,272 = 97,272 : x
  2. Step 2: Convert to fraction form
    72,382.50/97,272 = 97,272/x
  3. Step 3: Cross multiply
    72,382.50x = 97,272 × 97,272
  4. Step 4: Simplify right side
    72,382.50x = 9,461,841,984
  5. Step 5: Solve for x
    x = 9,461,841,984/72,382.50
  6. Step 6: Final answer
    x = 130,720.02

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.