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Finding the Third Proportional to 58,784 and 88,706

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Solution

The third proportional to 58,784 and 88,706 is: 133,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,784 : 88,706 = 88,706 : x
  2. Step 2: Convert to fraction form
    58,784/88,706 = 88,706/x
  3. Step 3: Cross multiply
    58,784x = 88,706 × 88,706
  4. Step 4: Simplify right side
    58,784x = 7,868,754,436
  5. Step 5: Solve for x
    x = 7,868,754,436/58,784
  6. Step 6: Final answer
    x = 133,858.78

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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.