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Finding the Third Proportional to 97,033 and 154,297

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Solution

The third proportional to 97,033 and 154,297 is: 245,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,033 : 154,297 = 154,297 : x
  2. Step 2: Convert to fraction form
    97,033/154,297 = 154,297/x
  3. Step 3: Cross multiply
    97,033x = 154,297 × 154,297
  4. Step 4: Simplify right side
    97,033x = 23,807,564,209
  5. Step 5: Solve for x
    x = 23,807,564,209/97,033
  6. Step 6: Final answer
    x = 245,355.33

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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.