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Finding the Third Proportional to 107,010 and 116,350.50

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Solution

The third proportional to 107,010 and 116,350.50 is: 126,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,010 : 116,350.50 = 116,350.50 : x
  2. Step 2: Convert to fraction form
    107,010/116,350.50 = 116,350.50/x
  3. Step 3: Cross multiply
    107,010x = 116,350.50 × 116,350.50
  4. Step 4: Simplify right side
    107,010x = 13,537,438,850.25
  5. Step 5: Solve for x
    x = 13,537,438,850.25/107,010
  6. Step 6: Final answer
    x = 126,506.30

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.