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Finding the Third Proportional to 65,718.84 and 102,548.53

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Solution

The third proportional to 65,718.84 and 102,548.53 is: 160,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718.84 : 102,548.53 = 102,548.53 : x
  2. Step 2: Convert to fraction form
    65,718.84/102,548.53 = 102,548.53/x
  3. Step 3: Cross multiply
    65,718.84x = 102,548.53 × 102,548.53
  4. Step 4: Simplify right side
    65,718.84x = 10,516,201,261.53
  5. Step 5: Solve for x
    x = 10,516,201,261.53/65,718.84
  6. Step 6: Final answer
    x = 160,018.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.