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Finding the Third Proportional to 65,309.50 and 98,146

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Solution

The third proportional to 65,309.50 and 98,146 is: 147,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,309.50 : 98,146 = 98,146 : x
  2. Step 2: Convert to fraction form
    65,309.50/98,146 = 98,146/x
  3. Step 3: Cross multiply
    65,309.50x = 98,146 × 98,146
  4. Step 4: Simplify right side
    65,309.50x = 9,632,637,316
  5. Step 5: Solve for x
    x = 9,632,637,316/65,309.50
  6. Step 6: Final answer
    x = 147,492.13

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Why These Related Problems?

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