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Finding the Third Proportional to 107,007 and 163,366.50

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Solution

The third proportional to 107,007 and 163,366.50 is: 249,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,007 : 163,366.50 = 163,366.50 : x
  2. Step 2: Convert to fraction form
    107,007/163,366.50 = 163,366.50/x
  3. Step 3: Cross multiply
    107,007x = 163,366.50 × 163,366.50
  4. Step 4: Simplify right side
    107,007x = 26,688,613,322.25
  5. Step 5: Solve for x
    x = 26,688,613,322.25/107,007
  6. Step 6: Final answer
    x = 249,409.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.