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Finding the Third Proportional to 97,413 and 146,763

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Solution

The third proportional to 97,413 and 146,763 is: 221,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,413 : 146,763 = 146,763 : x
  2. Step 2: Convert to fraction form
    97,413/146,763 = 146,763/x
  3. Step 3: Cross multiply
    97,413x = 146,763 × 146,763
  4. Step 4: Simplify right side
    97,413x = 21,539,378,169
  5. Step 5: Solve for x
    x = 21,539,378,169/97,413
  6. Step 6: Final answer
    x = 221,114.00

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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.