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Finding the Third Proportional to 102,050 and 153,465

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Solution

The third proportional to 102,050 and 153,465 is: 230,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,050 : 153,465 = 153,465 : x
  2. Step 2: Convert to fraction form
    102,050/153,465 = 153,465/x
  3. Step 3: Cross multiply
    102,050x = 153,465 × 153,465
  4. Step 4: Simplify right side
    102,050x = 23,551,506,225
  5. Step 5: Solve for x
    x = 23,551,506,225/102,050
  6. Step 6: Final answer
    x = 230,783.99

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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.