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Finding the Third Proportional to 34,319.95 and 70,758.56

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Solution

The third proportional to 34,319.95 and 70,758.56 is: 145,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.95 : 70,758.56 = 70,758.56 : x
  2. Step 2: Convert to fraction form
    34,319.95/70,758.56 = 70,758.56/x
  3. Step 3: Cross multiply
    34,319.95x = 70,758.56 × 70,758.56
  4. Step 4: Simplify right side
    34,319.95x = 5,006,774,167.07
  5. Step 5: Solve for x
    x = 5,006,774,167.07/34,319.95
  6. Step 6: Final answer
    x = 145,885.23

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.