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Finding the Third Proportional to 63,302 and 97,985

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Solution

The third proportional to 63,302 and 97,985 is: 151,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,302 : 97,985 = 97,985 : x
  2. Step 2: Convert to fraction form
    63,302/97,985 = 97,985/x
  3. Step 3: Cross multiply
    63,302x = 97,985 × 97,985
  4. Step 4: Simplify right side
    63,302x = 9,601,060,225
  5. Step 5: Solve for x
    x = 9,601,060,225/63,302
  6. Step 6: Final answer
    x = 151,670.72

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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.