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Finding the Third Proportional to 59,733.75 and 130,335

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Solution

The third proportional to 59,733.75 and 130,335 is: 284,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,733.75 : 130,335 = 130,335 : x
  2. Step 2: Convert to fraction form
    59,733.75/130,335 = 130,335/x
  3. Step 3: Cross multiply
    59,733.75x = 130,335 × 130,335
  4. Step 4: Simplify right side
    59,733.75x = 16,987,212,225
  5. Step 5: Solve for x
    x = 16,987,212,225/59,733.75
  6. Step 6: Final answer
    x = 284,382.15

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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.