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Finding the Third Proportional to 97,076 and 146,298

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Solution

The third proportional to 97,076 and 146,298 is: 220,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,076 : 146,298 = 146,298 : x
  2. Step 2: Convert to fraction form
    97,076/146,298 = 146,298/x
  3. Step 3: Cross multiply
    97,076x = 146,298 × 146,298
  4. Step 4: Simplify right side
    97,076x = 21,403,104,804
  5. Step 5: Solve for x
    x = 21,403,104,804/97,076
  6. Step 6: Final answer
    x = 220,477.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.