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Finding the Third Proportional to 93,532 and 127,784

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Solution

The third proportional to 93,532 and 127,784 is: 174,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,532 : 127,784 = 127,784 : x
  2. Step 2: Convert to fraction form
    93,532/127,784 = 127,784/x
  3. Step 3: Cross multiply
    93,532x = 127,784 × 127,784
  4. Step 4: Simplify right side
    93,532x = 16,328,750,656
  5. Step 5: Solve for x
    x = 16,328,750,656/93,532
  6. Step 6: Final answer
    x = 174,579.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.