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Finding the Third Proportional to 125,303 and 191,924

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Solution

The third proportional to 125,303 and 191,924 is: 293,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,303 : 191,924 = 191,924 : x
  2. Step 2: Convert to fraction form
    125,303/191,924 = 191,924/x
  3. Step 3: Cross multiply
    125,303x = 191,924 × 191,924
  4. Step 4: Simplify right side
    125,303x = 36,834,821,776
  5. Step 5: Solve for x
    x = 36,834,821,776/125,303
  6. Step 6: Final answer
    x = 293,966.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.