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Finding the Third Proportional to 70,830 and 99,029.25

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Solution

The third proportional to 70,830 and 99,029.25 is: 138,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830 : 99,029.25 = 99,029.25 : x
  2. Step 2: Convert to fraction form
    70,830/99,029.25 = 99,029.25/x
  3. Step 3: Cross multiply
    70,830x = 99,029.25 × 99,029.25
  4. Step 4: Simplify right side
    70,830x = 9,806,792,355.56
  5. Step 5: Solve for x
    x = 9,806,792,355.56/70,830
  6. Step 6: Final answer
    x = 138,455.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.