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Finding the Third Proportional to 97,037 and 144,957

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Solution

The third proportional to 97,037 and 144,957 is: 216,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,037 : 144,957 = 144,957 : x
  2. Step 2: Convert to fraction form
    97,037/144,957 = 144,957/x
  3. Step 3: Cross multiply
    97,037x = 144,957 × 144,957
  4. Step 4: Simplify right side
    97,037x = 21,012,531,849
  5. Step 5: Solve for x
    x = 21,012,531,849/97,037
  6. Step 6: Final answer
    x = 216,541.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.