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Finding the Third Proportional to 93,964 and 128,850

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Solution

The third proportional to 93,964 and 128,850 is: 176,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,964 : 128,850 = 128,850 : x
  2. Step 2: Convert to fraction form
    93,964/128,850 = 128,850/x
  3. Step 3: Cross multiply
    93,964x = 128,850 × 128,850
  4. Step 4: Simplify right side
    93,964x = 16,602,322,500
  5. Step 5: Solve for x
    x = 16,602,322,500/93,964
  6. Step 6: Final answer
    x = 176,688.12

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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.