Finding the Third Proportional to 75,534 and 111,102
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Solution
The third proportional to 75,534 and 111,102 is: 163,418.52
Step by Step Solution
- Step 1: Write the proportion equation
75,534 : 111,102 = 111,102 : x - Step 2: Convert to fraction form
75,534/111,102 = 111,102/x - Step 3: Cross multiply
75,534x = 111,102 × 111,102 - Step 4: Simplify right side
75,534x = 12,343,654,404 - Step 5: Solve for x
x = 12,343,654,404/75,534 - Step 6: Final answer
x = 163,418.52
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.