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Finding the Third Proportional to 69,076.13 and 101,347.88

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Solution

The third proportional to 69,076.13 and 101,347.88 is: 148,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076.13 : 101,347.88 = 101,347.88 : x
  2. Step 2: Convert to fraction form
    69,076.13/101,347.88 = 101,347.88/x
  3. Step 3: Cross multiply
    69,076.13x = 101,347.88 × 101,347.88
  4. Step 4: Simplify right side
    69,076.13x = 10,271,391,767.02
  5. Step 5: Solve for x
    x = 10,271,391,767.02/69,076.13
  6. Step 6: Final answer
    x = 148,696.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.