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Finding the Third Proportional to 45,461.25 and 72,970.88

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Solution

The third proportional to 45,461.25 and 72,970.88 is: 117,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,461.25 : 72,970.88 = 72,970.88 : x
  2. Step 2: Convert to fraction form
    45,461.25/72,970.88 = 72,970.88/x
  3. Step 3: Cross multiply
    45,461.25x = 72,970.88 × 72,970.88
  4. Step 4: Simplify right side
    45,461.25x = 5,324,748,598.27
  5. Step 5: Solve for x
    x = 5,324,748,598.27/45,461.25
  6. Step 6: Final answer
    x = 117,127.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.