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Finding the Third Proportional to 130,762.95 and 175,946.71

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Solution

The third proportional to 130,762.95 and 175,946.71 is: 236,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,762.95 : 175,946.71 = 175,946.71 : x
  2. Step 2: Convert to fraction form
    130,762.95/175,946.71 = 175,946.71/x
  3. Step 3: Cross multiply
    130,762.95x = 175,946.71 × 175,946.71
  4. Step 4: Simplify right side
    130,762.95x = 30,957,245,777.01
  5. Step 5: Solve for x
    x = 30,957,245,777.01/130,762.95
  6. Step 6: Final answer
    x = 236,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.