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Finding the Third Proportional to 97,026 and 145,899

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Solution

The third proportional to 97,026 and 145,899 is: 219,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,026 : 145,899 = 145,899 : x
  2. Step 2: Convert to fraction form
    97,026/145,899 = 145,899/x
  3. Step 3: Cross multiply
    97,026x = 145,899 × 145,899
  4. Step 4: Simplify right side
    97,026x = 21,286,518,201
  5. Step 5: Solve for x
    x = 21,286,518,201/97,026
  6. Step 6: Final answer
    x = 219,389.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.