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Finding the Third Proportional to 75,010 and 116,097

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Solution

The third proportional to 75,010 and 116,097 is: 179,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,010 : 116,097 = 116,097 : x
  2. Step 2: Convert to fraction form
    75,010/116,097 = 116,097/x
  3. Step 3: Cross multiply
    75,010x = 116,097 × 116,097
  4. Step 4: Simplify right side
    75,010x = 13,478,513,409
  5. Step 5: Solve for x
    x = 13,478,513,409/75,010
  6. Step 6: Final answer
    x = 179,689.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.