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Finding the Third Proportional to 65,448.75 and 141,193.50

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Solution

The third proportional to 65,448.75 and 141,193.50 is: 304,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448.75 : 141,193.50 = 141,193.50 : x
  2. Step 2: Convert to fraction form
    65,448.75/141,193.50 = 141,193.50/x
  3. Step 3: Cross multiply
    65,448.75x = 141,193.50 × 141,193.50
  4. Step 4: Simplify right side
    65,448.75x = 19,935,604,442.25
  5. Step 5: Solve for x
    x = 19,935,604,442.25/65,448.75
  6. Step 6: Final answer
    x = 304,598.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.