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Finding the Third Proportional to 64,506.75 and 151,779

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Solution

The third proportional to 64,506.75 and 151,779 is: 357,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,506.75 : 151,779 = 151,779 : x
  2. Step 2: Convert to fraction form
    64,506.75/151,779 = 151,779/x
  3. Step 3: Cross multiply
    64,506.75x = 151,779 × 151,779
  4. Step 4: Simplify right side
    64,506.75x = 23,036,864,841
  5. Step 5: Solve for x
    x = 23,036,864,841/64,506.75
  6. Step 6: Final answer
    x = 357,123.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.