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Finding the Third Proportional to 70,666 and 99,038

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Solution

The third proportional to 70,666 and 99,038 is: 138,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,666 : 99,038 = 99,038 : x
  2. Step 2: Convert to fraction form
    70,666/99,038 = 99,038/x
  3. Step 3: Cross multiply
    70,666x = 99,038 × 99,038
  4. Step 4: Simplify right side
    70,666x = 9,808,525,444
  5. Step 5: Solve for x
    x = 9,808,525,444/70,666
  6. Step 6: Final answer
    x = 138,801.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.