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Finding the Third Proportional to 61,357.50 and 96,403.50

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Solution

The third proportional to 61,357.50 and 96,403.50 is: 151,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,357.50 : 96,403.50 = 96,403.50 : x
  2. Step 2: Convert to fraction form
    61,357.50/96,403.50 = 96,403.50/x
  3. Step 3: Cross multiply
    61,357.50x = 96,403.50 × 96,403.50
  4. Step 4: Simplify right side
    61,357.50x = 9,293,634,812.25
  5. Step 5: Solve for x
    x = 9,293,634,812.25/61,357.50
  6. Step 6: Final answer
    x = 151,466.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.