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Finding the Third Proportional to 84,730 and 130,011

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Solution

The third proportional to 84,730 and 130,011 is: 199,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,730 : 130,011 = 130,011 : x
  2. Step 2: Convert to fraction form
    84,730/130,011 = 130,011/x
  3. Step 3: Cross multiply
    84,730x = 130,011 × 130,011
  4. Step 4: Simplify right side
    84,730x = 16,902,860,121
  5. Step 5: Solve for x
    x = 16,902,860,121/84,730
  6. Step 6: Final answer
    x = 199,490.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.