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Finding the Third Proportional to 58,254 and 124,134

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Solution

The third proportional to 58,254 and 124,134 is: 264,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,254 : 124,134 = 124,134 : x
  2. Step 2: Convert to fraction form
    58,254/124,134 = 124,134/x
  3. Step 3: Cross multiply
    58,254x = 124,134 × 124,134
  4. Step 4: Simplify right side
    58,254x = 15,409,249,956
  5. Step 5: Solve for x
    x = 15,409,249,956/58,254
  6. Step 6: Final answer
    x = 264,518.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.