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Finding the Third Proportional to 61,565.34 and 130,544.16

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Solution

The third proportional to 61,565.34 and 130,544.16 is: 276,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,565.34 : 130,544.16 = 130,544.16 : x
  2. Step 2: Convert to fraction form
    61,565.34/130,544.16 = 130,544.16/x
  3. Step 3: Cross multiply
    61,565.34x = 130,544.16 × 130,544.16
  4. Step 4: Simplify right side
    61,565.34x = 17,041,776,731.02
  5. Step 5: Solve for x
    x = 17,041,776,731.02/61,565.34
  6. Step 6: Final answer
    x = 276,807.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.