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Finding the Third Proportional to 66,502 and 97,276

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Solution

The third proportional to 66,502 and 97,276 is: 142,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,502 : 97,276 = 97,276 : x
  2. Step 2: Convert to fraction form
    66,502/97,276 = 97,276/x
  3. Step 3: Cross multiply
    66,502x = 97,276 × 97,276
  4. Step 4: Simplify right side
    66,502x = 9,462,620,176
  5. Step 5: Solve for x
    x = 9,462,620,176/66,502
  6. Step 6: Final answer
    x = 142,290.76

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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.