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Finding the Third Proportional to 31,905 and 70,148.25

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Solution

The third proportional to 31,905 and 70,148.25 is: 154,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905 : 70,148.25 = 70,148.25 : x
  2. Step 2: Convert to fraction form
    31,905/70,148.25 = 70,148.25/x
  3. Step 3: Cross multiply
    31,905x = 70,148.25 × 70,148.25
  4. Step 4: Simplify right side
    31,905x = 4,920,776,978.06
  5. Step 5: Solve for x
    x = 4,920,776,978.06/31,905
  6. Step 6: Final answer
    x = 154,232.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.