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Finding the Third Proportional to 45,356.34 and 71,513.02

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Solution

The third proportional to 45,356.34 and 71,513.02 is: 112,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,356.34 : 71,513.02 = 71,513.02 : x
  2. Step 2: Convert to fraction form
    45,356.34/71,513.02 = 71,513.02/x
  3. Step 3: Cross multiply
    45,356.34x = 71,513.02 × 71,513.02
  4. Step 4: Simplify right side
    45,356.34x = 5,114,111,403.78
  5. Step 5: Solve for x
    x = 5,114,111,403.78/45,356.34
  6. Step 6: Final answer
    x = 112,754.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.