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Finding the Third Proportional to 63,645 and 96,271.50

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Solution

The third proportional to 63,645 and 96,271.50 is: 145,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,645 : 96,271.50 = 96,271.50 : x
  2. Step 2: Convert to fraction form
    63,645/96,271.50 = 96,271.50/x
  3. Step 3: Cross multiply
    63,645x = 96,271.50 × 96,271.50
  4. Step 4: Simplify right side
    63,645x = 9,268,201,712.25
  5. Step 5: Solve for x
    x = 9,268,201,712.25/63,645
  6. Step 6: Final answer
    x = 145,623.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.