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Finding the Third Proportional to 124,327 and 190,784.50

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Solution

The third proportional to 124,327 and 190,784.50 is: 292,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,327 : 190,784.50 = 190,784.50 : x
  2. Step 2: Convert to fraction form
    124,327/190,784.50 = 190,784.50/x
  3. Step 3: Cross multiply
    124,327x = 190,784.50 × 190,784.50
  4. Step 4: Simplify right side
    124,327x = 36,398,725,440.25
  5. Step 5: Solve for x
    x = 36,398,725,440.25/124,327
  6. Step 6: Final answer
    x = 292,766.06

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