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Finding the Third Proportional to 59,765 and 130,044

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Solution

The third proportional to 59,765 and 130,044 is: 282,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,765 : 130,044 = 130,044 : x
  2. Step 2: Convert to fraction form
    59,765/130,044 = 130,044/x
  3. Step 3: Cross multiply
    59,765x = 130,044 × 130,044
  4. Step 4: Simplify right side
    59,765x = 16,911,441,936
  5. Step 5: Solve for x
    x = 16,911,441,936/59,765
  6. Step 6: Final answer
    x = 282,965.65

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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.