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Finding the Third Proportional to 97,038 and 154,305

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Solution

The third proportional to 97,038 and 154,305 is: 245,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,038 : 154,305 = 154,305 : x
  2. Step 2: Convert to fraction form
    97,038/154,305 = 154,305/x
  3. Step 3: Cross multiply
    97,038x = 154,305 × 154,305
  4. Step 4: Simplify right side
    97,038x = 23,810,033,025
  5. Step 5: Solve for x
    x = 23,810,033,025/97,038
  6. Step 6: Final answer
    x = 245,368.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.