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Finding the Third Proportional to 122,506 and 184,473

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Solution

The third proportional to 122,506 and 184,473 is: 277,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,506 : 184,473 = 184,473 : x
  2. Step 2: Convert to fraction form
    122,506/184,473 = 184,473/x
  3. Step 3: Cross multiply
    122,506x = 184,473 × 184,473
  4. Step 4: Simplify right side
    122,506x = 34,030,287,729
  5. Step 5: Solve for x
    x = 34,030,287,729/122,506
  6. Step 6: Final answer
    x = 277,784.66

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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.