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Finding the Third Proportional to 65,802 and 97,248

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Solution

The third proportional to 65,802 and 97,248 is: 143,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802 : 97,248 = 97,248 : x
  2. Step 2: Convert to fraction form
    65,802/97,248 = 97,248/x
  3. Step 3: Cross multiply
    65,802x = 97,248 × 97,248
  4. Step 4: Simplify right side
    65,802x = 9,457,173,504
  5. Step 5: Solve for x
    x = 9,457,173,504/65,802
  6. Step 6: Final answer
    x = 143,721.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.