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Finding the Third Proportional to 59,902 and 130,430

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Solution

The third proportional to 59,902 and 130,430 is: 283,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902 : 130,430 = 130,430 : x
  2. Step 2: Convert to fraction form
    59,902/130,430 = 130,430/x
  3. Step 3: Cross multiply
    59,902x = 130,430 × 130,430
  4. Step 4: Simplify right side
    59,902x = 17,011,984,900
  5. Step 5: Solve for x
    x = 17,011,984,900/59,902
  6. Step 6: Final answer
    x = 283,996.94

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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.