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Finding the Third Proportional to 61,807.13 and 132,362.25

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Solution

The third proportional to 61,807.13 and 132,362.25 is: 283,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,807.13 : 132,362.25 = 132,362.25 : x
  2. Step 2: Convert to fraction form
    61,807.13/132,362.25 = 132,362.25/x
  3. Step 3: Cross multiply
    61,807.13x = 132,362.25 × 132,362.25
  4. Step 4: Simplify right side
    61,807.13x = 17,519,765,225.06
  5. Step 5: Solve for x
    x = 17,519,765,225.06/61,807.13
  6. Step 6: Final answer
    x = 283,458.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.