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Finding the Third Proportional to 65,724 and 96,276

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Solution

The third proportional to 65,724 and 96,276 is: 141,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724 : 96,276 = 96,276 : x
  2. Step 2: Convert to fraction form
    65,724/96,276 = 96,276/x
  3. Step 3: Cross multiply
    65,724x = 96,276 × 96,276
  4. Step 4: Simplify right side
    65,724x = 9,269,068,176
  5. Step 5: Solve for x
    x = 9,269,068,176/65,724
  6. Step 6: Final answer
    x = 141,030.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.