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Finding the Third Proportional to 70,440 and 105,666

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Solution

The third proportional to 70,440 and 105,666 is: 158,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,440 : 105,666 = 105,666 : x
  2. Step 2: Convert to fraction form
    70,440/105,666 = 105,666/x
  3. Step 3: Cross multiply
    70,440x = 105,666 × 105,666
  4. Step 4: Simplify right side
    70,440x = 11,165,303,556
  5. Step 5: Solve for x
    x = 11,165,303,556/70,440
  6. Step 6: Final answer
    x = 158,508.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.