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Finding the Third Proportional to 131,068.13 and 286,124.91

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Solution

The third proportional to 131,068.13 and 286,124.91 is: 624,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,068.13 : 286,124.91 = 286,124.91 : x
  2. Step 2: Convert to fraction form
    131,068.13/286,124.91 = 286,124.91/x
  3. Step 3: Cross multiply
    131,068.13x = 286,124.91 × 286,124.91
  4. Step 4: Simplify right side
    131,068.13x = 81,867,461,976.57
  5. Step 5: Solve for x
    x = 81,867,461,976.57/131,068.13
  6. Step 6: Final answer
    x = 624,617.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.