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Finding the Third Proportional to 45,605.50 and 72,854

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Solution

The third proportional to 45,605.50 and 72,854 is: 116,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,605.50 : 72,854 = 72,854 : x
  2. Step 2: Convert to fraction form
    45,605.50/72,854 = 72,854/x
  3. Step 3: Cross multiply
    45,605.50x = 72,854 × 72,854
  4. Step 4: Simplify right side
    45,605.50x = 5,307,705,316
  5. Step 5: Solve for x
    x = 5,307,705,316/45,605.50
  6. Step 6: Final answer
    x = 116,383.01

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.