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Finding the Third Proportional to 65,484 and 98,770.50

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Solution

The third proportional to 65,484 and 98,770.50 is: 148,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,484 : 98,770.50 = 98,770.50 : x
  2. Step 2: Convert to fraction form
    65,484/98,770.50 = 98,770.50/x
  3. Step 3: Cross multiply
    65,484x = 98,770.50 × 98,770.50
  4. Step 4: Simplify right side
    65,484x = 9,755,611,670.25
  5. Step 5: Solve for x
    x = 9,755,611,670.25/65,484
  6. Step 6: Final answer
    x = 148,977.03

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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.