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Finding the Third Proportional to 58,030 and 92,229

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Solution

The third proportional to 58,030 and 92,229 is: 146,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,030 : 92,229 = 92,229 : x
  2. Step 2: Convert to fraction form
    58,030/92,229 = 92,229/x
  3. Step 3: Cross multiply
    58,030x = 92,229 × 92,229
  4. Step 4: Simplify right side
    58,030x = 8,506,188,441
  5. Step 5: Solve for x
    x = 8,506,188,441/58,030
  6. Step 6: Final answer
    x = 146,582.60

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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.