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Finding the Third Proportional to 59,824 and 130,160

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Solution

The third proportional to 59,824 and 130,160 is: 283,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,824 : 130,160 = 130,160 : x
  2. Step 2: Convert to fraction form
    59,824/130,160 = 130,160/x
  3. Step 3: Cross multiply
    59,824x = 130,160 × 130,160
  4. Step 4: Simplify right side
    59,824x = 16,941,625,600
  5. Step 5: Solve for x
    x = 16,941,625,600/59,824
  6. Step 6: Final answer
    x = 283,191.12

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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.