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Finding the Third Proportional to 60,324.75 and 132,465.38

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Solution

The third proportional to 60,324.75 and 132,465.38 is: 290,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,324.75 : 132,465.38 = 132,465.38 : x
  2. Step 2: Convert to fraction form
    60,324.75/132,465.38 = 132,465.38/x
  3. Step 3: Cross multiply
    60,324.75x = 132,465.38 × 132,465.38
  4. Step 4: Simplify right side
    60,324.75x = 17,547,075,573.89
  5. Step 5: Solve for x
    x = 17,547,075,573.89/60,324.75
  6. Step 6: Final answer
    x = 290,876.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.