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Finding the Third Proportional to 124,477 and 191,330.50

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Solution

The third proportional to 124,477 and 191,330.50 is: 294,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,477 : 191,330.50 = 191,330.50 : x
  2. Step 2: Convert to fraction form
    124,477/191,330.50 = 191,330.50/x
  3. Step 3: Cross multiply
    124,477x = 191,330.50 × 191,330.50
  4. Step 4: Simplify right side
    124,477x = 36,607,360,230.25
  5. Step 5: Solve for x
    x = 36,607,360,230.25/124,477
  6. Step 6: Final answer
    x = 294,089.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.