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Finding the Third Proportional to 58,440 and 124,656

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Solution

The third proportional to 58,440 and 124,656 is: 265,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,440 : 124,656 = 124,656 : x
  2. Step 2: Convert to fraction form
    58,440/124,656 = 124,656/x
  3. Step 3: Cross multiply
    58,440x = 124,656 × 124,656
  4. Step 4: Simplify right side
    58,440x = 15,539,118,336
  5. Step 5: Solve for x
    x = 15,539,118,336/58,440
  6. Step 6: Final answer
    x = 265,898.67

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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.