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Finding the Third Proportional to 32,278 and 70,777.50

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Solution

The third proportional to 32,278 and 70,777.50 is: 155,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278 : 70,777.50 = 70,777.50 : x
  2. Step 2: Convert to fraction form
    32,278/70,777.50 = 70,777.50/x
  3. Step 3: Cross multiply
    32,278x = 70,777.50 × 70,777.50
  4. Step 4: Simplify right side
    32,278x = 5,009,454,506.25
  5. Step 5: Solve for x
    x = 5,009,454,506.25/32,278
  6. Step 6: Final answer
    x = 155,197.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.