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Finding the Third Proportional to 58,213 and 111,929

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Solution

The third proportional to 58,213 and 111,929 is: 215,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,213 : 111,929 = 111,929 : x
  2. Step 2: Convert to fraction form
    58,213/111,929 = 111,929/x
  3. Step 3: Cross multiply
    58,213x = 111,929 × 111,929
  4. Step 4: Simplify right side
    58,213x = 12,528,101,041
  5. Step 5: Solve for x
    x = 12,528,101,041/58,213
  6. Step 6: Final answer
    x = 215,211.40

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.