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Finding the Third Proportional to 66,346 and 97,573

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Solution

The third proportional to 66,346 and 97,573 is: 143,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,346 : 97,573 = 97,573 : x
  2. Step 2: Convert to fraction form
    66,346/97,573 = 97,573/x
  3. Step 3: Cross multiply
    66,346x = 97,573 × 97,573
  4. Step 4: Simplify right side
    66,346x = 9,520,490,329
  5. Step 5: Solve for x
    x = 9,520,490,329/66,346
  6. Step 6: Final answer
    x = 143,497.58

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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.