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Finding the Third Proportional to 65,152 and 98,274

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Solution

The third proportional to 65,152 and 98,274 is: 148,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152 : 98,274 = 98,274 : x
  2. Step 2: Convert to fraction form
    65,152/98,274 = 98,274/x
  3. Step 3: Cross multiply
    65,152x = 98,274 × 98,274
  4. Step 4: Simplify right side
    65,152x = 9,657,779,076
  5. Step 5: Solve for x
    x = 9,657,779,076/65,152
  6. Step 6: Final answer
    x = 148,234.58

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