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Finding the Third Proportional to 125,492 and 184,053

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Solution

The third proportional to 125,492 and 184,053 is: 269,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,492 : 184,053 = 184,053 : x
  2. Step 2: Convert to fraction form
    125,492/184,053 = 184,053/x
  3. Step 3: Cross multiply
    125,492x = 184,053 × 184,053
  4. Step 4: Simplify right side
    125,492x = 33,875,506,809
  5. Step 5: Solve for x
    x = 33,875,506,809/125,492
  6. Step 6: Final answer
    x = 269,941.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.