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Finding the Third Proportional to 102,600 and 163,903.50

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Solution

The third proportional to 102,600 and 163,903.50 is: 261,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,600 : 163,903.50 = 163,903.50 : x
  2. Step 2: Convert to fraction form
    102,600/163,903.50 = 163,903.50/x
  3. Step 3: Cross multiply
    102,600x = 163,903.50 × 163,903.50
  4. Step 4: Simplify right side
    102,600x = 26,864,357,312.25
  5. Step 5: Solve for x
    x = 26,864,357,312.25/102,600
  6. Step 6: Final answer
    x = 261,835.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.