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Finding the Third Proportional to 116,970.19 and 177,106.50

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Solution

The third proportional to 116,970.19 and 177,106.50 is: 268,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,970.19 : 177,106.50 = 177,106.50 : x
  2. Step 2: Convert to fraction form
    116,970.19/177,106.50 = 177,106.50/x
  3. Step 3: Cross multiply
    116,970.19x = 177,106.50 × 177,106.50
  4. Step 4: Simplify right side
    116,970.19x = 31,366,712,342.25
  5. Step 5: Solve for x
    x = 31,366,712,342.25/116,970.19
  6. Step 6: Final answer
    x = 268,159.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.