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Finding the Third Proportional to 63,090 and 97,672.50

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Solution

The third proportional to 63,090 and 97,672.50 is: 151,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,090 : 97,672.50 = 97,672.50 : x
  2. Step 2: Convert to fraction form
    63,090/97,672.50 = 97,672.50/x
  3. Step 3: Cross multiply
    63,090x = 97,672.50 × 97,672.50
  4. Step 4: Simplify right side
    63,090x = 9,539,917,256.25
  5. Step 5: Solve for x
    x = 9,539,917,256.25/63,090
  6. Step 6: Final answer
    x = 151,211.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.