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Finding the Third Proportional to 93,528 and 139,896

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Solution

The third proportional to 93,528 and 139,896 is: 209,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,528 : 139,896 = 139,896 : x
  2. Step 2: Convert to fraction form
    93,528/139,896 = 139,896/x
  3. Step 3: Cross multiply
    93,528x = 139,896 × 139,896
  4. Step 4: Simplify right side
    93,528x = 19,570,890,816
  5. Step 5: Solve for x
    x = 19,570,890,816/93,528
  6. Step 6: Final answer
    x = 209,251.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.