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Finding the Third Proportional to 70,574 and 109,748

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Solution

The third proportional to 70,574 and 109,748 is: 170,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,574 : 109,748 = 109,748 : x
  2. Step 2: Convert to fraction form
    70,574/109,748 = 109,748/x
  3. Step 3: Cross multiply
    70,574x = 109,748 × 109,748
  4. Step 4: Simplify right side
    70,574x = 12,044,623,504
  5. Step 5: Solve for x
    x = 12,044,623,504/70,574
  6. Step 6: Final answer
    x = 170,666.58

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.