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Finding the Third Proportional to 45,297 and 70,699.50

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Solution

The third proportional to 45,297 and 70,699.50 is: 110,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,297 : 70,699.50 = 70,699.50 : x
  2. Step 2: Convert to fraction form
    45,297/70,699.50 = 70,699.50/x
  3. Step 3: Cross multiply
    45,297x = 70,699.50 × 70,699.50
  4. Step 4: Simplify right side
    45,297x = 4,998,419,300.25
  5. Step 5: Solve for x
    x = 4,998,419,300.25/45,297
  6. Step 6: Final answer
    x = 110,347.69

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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.