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Finding the Third Proportional to 65,740.22 and 141,860.11

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Solution

The third proportional to 65,740.22 and 141,860.11 is: 306,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,740.22 : 141,860.11 = 141,860.11 : x
  2. Step 2: Convert to fraction form
    65,740.22/141,860.11 = 141,860.11/x
  3. Step 3: Cross multiply
    65,740.22x = 141,860.11 × 141,860.11
  4. Step 4: Simplify right side
    65,740.22x = 20,124,290,631.89
  5. Step 5: Solve for x
    x = 20,124,290,631.89/65,740.22
  6. Step 6: Final answer
    x = 306,118.40

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Why These Related Problems?

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