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Finding the Third Proportional to 58,596 and 93,222

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Solution

The third proportional to 58,596 and 93,222 is: 148,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,596 : 93,222 = 93,222 : x
  2. Step 2: Convert to fraction form
    58,596/93,222 = 93,222/x
  3. Step 3: Cross multiply
    58,596x = 93,222 × 93,222
  4. Step 4: Simplify right side
    58,596x = 8,690,341,284
  5. Step 5: Solve for x
    x = 8,690,341,284/58,596
  6. Step 6: Final answer
    x = 148,309.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.