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Finding the Third Proportional to 59,429.25 and 130,521.75

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Solution

The third proportional to 59,429.25 and 130,521.75 is: 286,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,429.25 : 130,521.75 = 130,521.75 : x
  2. Step 2: Convert to fraction form
    59,429.25/130,521.75 = 130,521.75/x
  3. Step 3: Cross multiply
    59,429.25x = 130,521.75 × 130,521.75
  4. Step 4: Simplify right side
    59,429.25x = 17,035,927,223.06
  5. Step 5: Solve for x
    x = 17,035,927,223.06/59,429.25
  6. Step 6: Final answer
    x = 286,658.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.