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Finding the Third Proportional to 70,407 and 105,619.50

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Solution

The third proportional to 70,407 and 105,619.50 is: 158,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,407 : 105,619.50 = 105,619.50 : x
  2. Step 2: Convert to fraction form
    70,407/105,619.50 = 105,619.50/x
  3. Step 3: Cross multiply
    70,407x = 105,619.50 × 105,619.50
  4. Step 4: Simplify right side
    70,407x = 11,155,478,780.25
  5. Step 5: Solve for x
    x = 11,155,478,780.25/70,407
  6. Step 6: Final answer
    x = 158,442.75

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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.