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Finding the Third Proportional to 65,148.75 and 99,830.25

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Solution

The third proportional to 65,148.75 and 99,830.25 is: 152,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.75 : 99,830.25 = 99,830.25 : x
  2. Step 2: Convert to fraction form
    65,148.75/99,830.25 = 99,830.25/x
  3. Step 3: Cross multiply
    65,148.75x = 99,830.25 × 99,830.25
  4. Step 4: Simplify right side
    65,148.75x = 9,966,078,815.06
  5. Step 5: Solve for x
    x = 9,966,078,815.06/65,148.75
  6. Step 6: Final answer
    x = 152,974.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.