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Finding the Third Proportional to 58,563 and 93,114

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Solution

The third proportional to 58,563 and 93,114 is: 148,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,563 : 93,114 = 93,114 : x
  2. Step 2: Convert to fraction form
    58,563/93,114 = 93,114/x
  3. Step 3: Cross multiply
    58,563x = 93,114 × 93,114
  4. Step 4: Simplify right side
    58,563x = 8,670,216,996
  5. Step 5: Solve for x
    x = 8,670,216,996/58,563
  6. Step 6: Final answer
    x = 148,049.40

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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.