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Finding the Third Proportional to 45,906 and 70,784.50

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Solution

The third proportional to 45,906 and 70,784.50 is: 109,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906 : 70,784.50 = 70,784.50 : x
  2. Step 2: Convert to fraction form
    45,906/70,784.50 = 70,784.50/x
  3. Step 3: Cross multiply
    45,906x = 70,784.50 × 70,784.50
  4. Step 4: Simplify right side
    45,906x = 5,010,445,440.25
  5. Step 5: Solve for x
    x = 5,010,445,440.25/45,906
  6. Step 6: Final answer
    x = 109,145.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.