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Finding the Third Proportional to 108,897.19 and 164,987.30

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Solution

The third proportional to 108,897.19 and 164,987.30 is: 249,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,897.19 : 164,987.30 = 164,987.30 : x
  2. Step 2: Convert to fraction form
    108,897.19/164,987.30 = 164,987.30/x
  3. Step 3: Cross multiply
    108,897.19x = 164,987.30 × 164,987.30
  4. Step 4: Simplify right side
    108,897.19x = 27,220,808,130.12
  5. Step 5: Solve for x
    x = 27,220,808,130.12/108,897.19
  6. Step 6: Final answer
    x = 249,967.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.