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Finding the Third Proportional to 64,512 and 94,871

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Solution

The third proportional to 64,512 and 94,871 is: 139,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512 : 94,871 = 94,871 : x
  2. Step 2: Convert to fraction form
    64,512/94,871 = 94,871/x
  3. Step 3: Cross multiply
    64,512x = 94,871 × 94,871
  4. Step 4: Simplify right side
    64,512x = 9,000,506,641
  5. Step 5: Solve for x
    x = 9,000,506,641/64,512
  6. Step 6: Final answer
    x = 139,516.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.