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Finding the Third Proportional to 59,894 and 130,998

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Solution

The third proportional to 59,894 and 130,998 is: 286,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,894 : 130,998 = 130,998 : x
  2. Step 2: Convert to fraction form
    59,894/130,998 = 130,998/x
  3. Step 3: Cross multiply
    59,894x = 130,998 × 130,998
  4. Step 4: Simplify right side
    59,894x = 17,160,476,004
  5. Step 5: Solve for x
    x = 17,160,476,004/59,894
  6. Step 6: Final answer
    x = 286,514.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.