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Finding the Third Proportional to 97,020 and 144,930.94

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Solution

The third proportional to 97,020 and 144,930.94 is: 216,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,020 : 144,930.94 = 144,930.94 : x
  2. Step 2: Convert to fraction form
    97,020/144,930.94 = 144,930.94/x
  3. Step 3: Cross multiply
    97,020x = 144,930.94 × 144,930.94
  4. Step 4: Simplify right side
    97,020x = 21,004,976,644.63
  5. Step 5: Solve for x
    x = 21,004,976,644.63/97,020
  6. Step 6: Final answer
    x = 216,501.51

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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.