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Finding the Third Proportional to 65,457 and 100,737

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Solution

The third proportional to 65,457 and 100,737 is: 155,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457 : 100,737 = 100,737 : x
  2. Step 2: Convert to fraction form
    65,457/100,737 = 100,737/x
  3. Step 3: Cross multiply
    65,457x = 100,737 × 100,737
  4. Step 4: Simplify right side
    65,457x = 10,147,943,169
  5. Step 5: Solve for x
    x = 10,147,943,169/65,457
  6. Step 6: Final answer
    x = 155,032.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.