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Finding the Third Proportional to 65,507 and 98,586

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Solution

The third proportional to 65,507 and 98,586 is: 148,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507 : 98,586 = 98,586 : x
  2. Step 2: Convert to fraction form
    65,507/98,586 = 98,586/x
  3. Step 3: Cross multiply
    65,507x = 98,586 × 98,586
  4. Step 4: Simplify right side
    65,507x = 9,719,199,396
  5. Step 5: Solve for x
    x = 9,719,199,396/65,507
  6. Step 6: Final answer
    x = 148,368.87

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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.