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Finding the Third Proportional to 128,929.64 and 175,096.69

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Solution

The third proportional to 128,929.64 and 175,096.69 is: 237,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,929.64 : 175,096.69 = 175,096.69 : x
  2. Step 2: Convert to fraction form
    128,929.64/175,096.69 = 175,096.69/x
  3. Step 3: Cross multiply
    128,929.64x = 175,096.69 × 175,096.69
  4. Step 4: Simplify right side
    128,929.64x = 30,658,849,973.47
  5. Step 5: Solve for x
    x = 30,658,849,973.47/128,929.64
  6. Step 6: Final answer
    x = 237,795.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.