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Finding the Third Proportional to 130,152 and 176,792

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Solution

The third proportional to 130,152 and 176,792 is: 240,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,152 : 176,792 = 176,792 : x
  2. Step 2: Convert to fraction form
    130,152/176,792 = 176,792/x
  3. Step 3: Cross multiply
    130,152x = 176,792 × 176,792
  4. Step 4: Simplify right side
    130,152x = 31,255,411,264
  5. Step 5: Solve for x
    x = 31,255,411,264/130,152
  6. Step 6: Final answer
    x = 240,145.46

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Why These Related Problems?

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