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Finding the Third Proportional to 59,590 and 130,031

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Solution

The third proportional to 59,590 and 130,031 is: 283,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,590 : 130,031 = 130,031 : x
  2. Step 2: Convert to fraction form
    59,590/130,031 = 130,031/x
  3. Step 3: Cross multiply
    59,590x = 130,031 × 130,031
  4. Step 4: Simplify right side
    59,590x = 16,908,060,961
  5. Step 5: Solve for x
    x = 16,908,060,961/59,590
  6. Step 6: Final answer
    x = 283,739.91

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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.