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Finding the Third Proportional to 58,963 and 93,364

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Solution

The third proportional to 58,963 and 93,364 is: 147,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,963 : 93,364 = 93,364 : x
  2. Step 2: Convert to fraction form
    58,963/93,364 = 93,364/x
  3. Step 3: Cross multiply
    58,963x = 93,364 × 93,364
  4. Step 4: Simplify right side
    58,963x = 8,716,836,496
  5. Step 5: Solve for x
    x = 8,716,836,496/58,963
  6. Step 6: Final answer
    x = 147,835.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.