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Finding the Third Proportional to 65,312 and 98,160

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Solution

The third proportional to 65,312 and 98,160 is: 147,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312 : 98,160 = 98,160 : x
  2. Step 2: Convert to fraction form
    65,312/98,160 = 98,160/x
  3. Step 3: Cross multiply
    65,312x = 98,160 × 98,160
  4. Step 4: Simplify right side
    65,312x = 9,635,385,600
  5. Step 5: Solve for x
    x = 9,635,385,600/65,312
  6. Step 6: Final answer
    x = 147,528.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.