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Finding the Third Proportional to 134,730 and 202,095

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Solution

The third proportional to 134,730 and 202,095 is: 303,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,730 : 202,095 = 202,095 : x
  2. Step 2: Convert to fraction form
    134,730/202,095 = 202,095/x
  3. Step 3: Cross multiply
    134,730x = 202,095 × 202,095
  4. Step 4: Simplify right side
    134,730x = 40,842,389,025
  5. Step 5: Solve for x
    x = 40,842,389,025/134,730
  6. Step 6: Final answer
    x = 303,142.50

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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.