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Finding the Third Proportional to 86,038 and 184,528

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Solution

The third proportional to 86,038 and 184,528 is: 395,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,038 : 184,528 = 184,528 : x
  2. Step 2: Convert to fraction form
    86,038/184,528 = 184,528/x
  3. Step 3: Cross multiply
    86,038x = 184,528 × 184,528
  4. Step 4: Simplify right side
    86,038x = 34,050,582,784
  5. Step 5: Solve for x
    x = 34,050,582,784/86,038
  6. Step 6: Final answer
    x = 395,762.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.