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Finding the Third Proportional to 62,604 and 94,461

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Solution

The third proportional to 62,604 and 94,461 is: 142,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,604 : 94,461 = 94,461 : x
  2. Step 2: Convert to fraction form
    62,604/94,461 = 94,461/x
  3. Step 3: Cross multiply
    62,604x = 94,461 × 94,461
  4. Step 4: Simplify right side
    62,604x = 8,922,880,521
  5. Step 5: Solve for x
    x = 8,922,880,521/62,604
  6. Step 6: Final answer
    x = 142,528.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.