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Finding the Third Proportional to 68,370.47 and 103,499.16

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Solution

The third proportional to 68,370.47 and 103,499.16 is: 156,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,370.47 : 103,499.16 = 103,499.16 : x
  2. Step 2: Convert to fraction form
    68,370.47/103,499.16 = 103,499.16/x
  3. Step 3: Cross multiply
    68,370.47x = 103,499.16 × 103,499.16
  4. Step 4: Simplify right side
    68,370.47x = 10,712,075,344.46
  5. Step 5: Solve for x
    x = 10,712,075,344.46/68,370.47
  6. Step 6: Final answer
    x = 156,676.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.