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Finding the Third Proportional to 59,918.63 and 130,561.88

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Solution

The third proportional to 59,918.63 and 130,561.88 is: 284,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,918.63 : 130,561.88 = 130,561.88 : x
  2. Step 2: Convert to fraction form
    59,918.63/130,561.88 = 130,561.88/x
  3. Step 3: Cross multiply
    59,918.63x = 130,561.88 × 130,561.88
  4. Step 4: Simplify right side
    59,918.63x = 17,046,403,203.52
  5. Step 5: Solve for x
    x = 17,046,403,203.52/59,918.63
  6. Step 6: Final answer
    x = 284,492.56

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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.