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Finding the Third Proportional to 59,946 and 93,138

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Solution

The third proportional to 59,946 and 93,138 is: 144,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,946 : 93,138 = 93,138 : x
  2. Step 2: Convert to fraction form
    59,946/93,138 = 93,138/x
  3. Step 3: Cross multiply
    59,946x = 93,138 × 93,138
  4. Step 4: Simplify right side
    59,946x = 8,674,687,044
  5. Step 5: Solve for x
    x = 8,674,687,044/59,946
  6. Step 6: Final answer
    x = 144,708.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.