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Finding the Third Proportional to 71,055.75 and 102,655.13

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Solution

The third proportional to 71,055.75 and 102,655.13 is: 148,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,055.75 : 102,655.13 = 102,655.13 : x
  2. Step 2: Convert to fraction form
    71,055.75/102,655.13 = 102,655.13/x
  3. Step 3: Cross multiply
    71,055.75x = 102,655.13 × 102,655.13
  4. Step 4: Simplify right side
    71,055.75x = 10,538,074,688.77
  5. Step 5: Solve for x
    x = 10,538,074,688.77/71,055.75
  6. Step 6: Final answer
    x = 148,307.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.